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Izv. Akad. Nauk SSSR Ser. Mat., 1940, Volume 4, Issue 6, Pages 465–478 (Mi izv3907)  

This article is cited in 17 scientific papers (total in 18 papers)

Sur les fonctions-vecteurs complètement additives

A. A. Liapounoff

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Received: 08.03.1940

Citation: A. A. Liapounoff, “Sur les fonctions-vecteurs complètement additives”, Izv. Akad. Nauk SSSR Ser. Mat., 4:6 (1940), 465–478

Citation in format AMSBIB
\by A.~A.~Liapounoff
\paper Sur les fonctions-vecteurs compl\`etement additives
\jour Izv. Akad. Nauk SSSR Ser. Mat.
\yr 1940
\vol 4
\issue 6
\pages 465--478

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    This publication is cited in the following articles:
    1. A. D. Ioffe, V. M. Tikhomirov, “Duality of convex functions and extremum problems”, Russian Math. Surveys, 23:6 (1968), 53–124  mathnet  crossref  mathscinet  zmath
    2. V. I. Arkin, V. L. Levin, “Convexity of values of vector integrals, theorems on measurable choice and variational problems”, Russian Math. Surveys, 27:3 (1972), 21–85  mathnet  crossref  mathscinet  zmath
    3. S. Ya. Havinson, Z. S. Romanova, “Approximation properties of finite-dimensional subspaces in $L_1$”, Math. USSR-Sb., 18:1 (1972), 1–14  mathnet  crossref  mathscinet  zmath
    4. D. V. Pecherskii, “A theorem on projections of rearranged series with terms in $L_p$”, Math. USSR-Izv., 11:1 (1977), 193–204  mathnet  crossref  mathscinet  zmath
    5. I. L. Averbakh, “An iterative decomposition method in single-stage stochastic integer-programming problems”, U.S.S.R. Comput. Math. Math. Phys., 30:5 (1990), 133–139  mathnet  crossref  mathscinet  zmath
    6. V. M. Kadets, “Remark on the Lyapunov theorem on vector measures”, Funct. Anal. Appl., 25:4 (1991), 295–297  mathnet  crossref  mathscinet  zmath  isi
    7. I. L. Averbakh, “An iterative method of solving two-stage discrete stochastic programming problems with additively separable variables”, U.S.S.R. Comput. Math. Math. Phys., 31:6 (1991), 21–27  mathnet  mathscinet  zmath  isi
    8. V. M. Klimkin, M. G. Svistula, “Darboux property of a non-additive set function”, Sb. Math., 192:7 (2001), 969–978  mathnet  crossref  crossref  mathscinet  zmath  isi
    9. Bagdasarov S.K., “Generalizations of the time optimal problem and Lyapunov theorem on the range of vector measures”, Journal of Approximation Theory, 147:1 (2007), 81–111  crossref  isi
    10. Yu. G. Reshetnyak, V. A. Zalgaller, “On Rectifiable Curves, Additive Vector Functions, and the Minkowski Sum of Straight Line Segments”, Sib. elektron. matem. izv., 9 (2012), 531–553  mathnet
    11. M. K. Kerimov, “K stoletiyu so dnya rozhdeniya chlena-korrespondenta AN SSSR, professora Alekseya Andreevicha Lyapunova”, Zh. vychisl. matem. i matem. fiz., 52:11 (2012), 1939–1946  mathnet
    12. E. R. Avakov, G. G. Magaril-Il'yaev, V. M. Tikhomirov, “Lagrange's principle in extremum problems with constraints”, Russian Math. Surveys, 68:3 (2013), 401–433  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib
    13. F. S. Stonyakin, “Anti-compacts and their applications to analogs of Lyapunov and Lebesgue theorems in Frechét spaces”, Journal of Mathematical Sciences, 218:4 (2016), 526–548  mathnet  crossref
    14. M. Yu. Kokurin, “Convexity properties of images under nonlinear integral operators”, Sb. Math., 205:12 (2014), 1775–1786  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
    15. F. S. Stonyakin, “Sequential analogues of the Lyapunov and Krein–Milman theorems in Fréchet spaces”, Journal of Mathematical Sciences, 225:2 (2017), 322–344  mathnet  crossref
    16. M. L. Blank, “The problem of fair division for a hybrid resource”, Problems Inform. Transmission, 52:3 (2016), 299–307  mathnet  crossref  isi  elib
    17. E. S. Polovinkin, “On some properties of vector measures”, Proc. Steklov Inst. Math. (Suppl.), 303, suppl. 1 (2018), 183–195  mathnet  crossref  crossref  isi  elib
    18. M. Yu. Kokurin, “Almost solubility of classes of non-linear integral equations of the first kind on cones”, Izv. Math., 83:5 (2019), 990–1007  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib
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